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216725292 = 223273172713
BaseRepresentation
bin11001110101011…
…11011100101100
3120002210210012200
430322233130230
5420440202132
633301101500
75241064110
oct1472573454
9502723180
10216725292
11101376a13
12606b7890
1335b92024
1420ad7740
151405ed7c
hexceaf72c

216725292 has 72 divisors (see below), whose sum is σ = 628301856. Its totient is φ = 61703424.

The previous prime is 216725291. The next prime is 216725293. The reversal of 216725292 is 292527612.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (216725291) and next prime (216725293).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (216725291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78528 + ... + 81240.

Almost surely, 2216725292 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216725292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314150928).

216725292 is an abundant number, since it is smaller than the sum of its proper divisors (411576564).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

216725292 is a wasteful number, since it uses less digits than its factorization.

216725292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3047 (or 3042 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 216725292 is about 14721.5927127468. The cubic root of 216725292 is about 600.6708163961.

The spelling of 216725292 in words is "two hundred sixteen million, seven hundred twenty-five thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 317 634 951 1268 1902 2219 2713 2853 3804 4438 5426 5706 6657 8139 8876 10852 11412 13314 16278 18991 19971 24417 26628 32556 37982 39942 48834 56973 75964 79884 97668 113946 170919 227892 341838 683676 860021 1720042 2580063 3440084 5160126 6020147 7740189 10320252 12040294 15480378 18060441 24080588 30960756 36120882 54181323 72241764 108362646 216725292